COLOMBO, April 15 (Reuters) - Sri Lanka's shares fell on Thursday in thin trade from a record high close in the previous session, snapping six straight rises led by hotel shares, while the rupee closed weaker on importer demand. The All-Share Price Index of the Colombo Stock Exchange closed 0.07 percent or 2.95 points weaker at 3,955.83, from its highest close. It hit an all-time high of 3,981 ...